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2 years ago

(2x-3)^2=9 factorise

Mathematics

2 answers:

vlabodo [156]2 years ago

8 0

Answer:

Step-by-step explanation:

(2x-3)^2=9

(2x-3)^2=3^ 2

2x - 3 = 3

2x = 3 + 3

2x = 6

x = 6/2

x = 3

irina1246 [14]2 years ago

3 0

Answer:

$x(4x-12)=0$

Step-by-step explanation:

$(2x-3)^2=9\\(2x-3)(2x-3)=9\\4x^2-12x+9=9\\4x^2-12x=0\\x(4x-12)=0$

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Log 64 = x. Find X ⁴

ozzi

Answer:

Step-by-step explanation:

Rewrite the logarithmic notation to index notation.

4^x=64

Change 64 to index notation

ie 64 = 4^3

Since the base is the same(4) cancel them out

You remain with x = 3

6 0

3 years ago

Read 2 more answers

PLEASE HELP!! How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

PilotLPTM [1.2K]

Answer: $No~Solution$ $s$

Step-by-step explanation:

Let's factor then solve to find the complex solutions.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : $-4x-11=2(x-3x)+13$

Equations that are never true:

$1.1 ~~~~ Solve : -24 = 0$

This equation has no solution.

A non-zero constant never equals zero.

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1 year ago

Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A

Vesna [10]

Answer: The required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

Step-by-step explanation: We are given to find the characteristic polynomial of the following 3 × 3 matrix A with unknown variable x :

$A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].$

We know that

for any square matrix M, the characteristic polynomial is given by

$|M-xI|=0,$ where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

$|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.$

Thus, the required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

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3 years ago

Do es compoumd interest have more of an impact for short-term

Bezzdna [24]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Blediana read a total of 10 Harry Potter books over 5 months. After belonging to the book club for 6 months, how many books will

attashe74 [19]

Blediana would have read a total of 12 Harry Potter books in 6 months.
If she read 10 books in 5 months, that would be 2 books per month. 6 months would allow her to lead a total of 12 books.

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3 years ago